Question
In how many different ways can 6 boys and 3 girls to be
seated in a row such that all the boys seated together and all the girls seated together?Solution
Number of ways in which boy and girls can be seated = 6! ×3! Total number of ways when boys are seating together and girls are seating together = 2! × 6! × 3!
A committee of 5 members is to be formed out of 6 men and 4 women. In how many ways can a committee consisting of atleast 1 woman be formed?
Determine the total number of ways to form a committee consisting of 10 members from a pool of 8 men and 7 women, ensuring the committee includes at lea...
In how many ways can the letters of the word VOWEL can be arranged so that all the consonants occupy odd places, vowels come on even places?
Find the number of words that can be formed by using all letters of the word ' PAINTING', if it starts with letter A and end with letter T.
How many 4-digit even numbers can be formed using digits 1, 2, 3, 4, 5, 6 without repetition?
In how many different ways can the letters of the word “INCORPORATION” be arranged so that the vowels comes together?
How many numbers of five digits may be formed with the digits 5, 0, 9, 0, and 6?
In how many different ways can the letters of the word ‘PADDLED’ be arranged?
Find the quantity of methods of picking 4 cards from a set of 52 playing cards if four cards are of the same unit?
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Five toys out of which 2 are identical robots and the rest are different action figures are to be arranged in a row. Find the number of arrangements in ...
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